DOI: 10.1119/1.11313. On the nature of the Hamiltonian for the interaction of radiation with atoms and molecules: (e/m c)p⋅A, −μ⋅E, and all that

On the nature of the Hamiltonian for the interaction of radiation with atoms and molecules: (e/m c)p⋅A, −μ⋅E, and all that

10.1119/1.11313

Crossref journal-article

American Association of Physics Teachers (AAPT)

American Journal of Physics (3)

Abstract

In nonrelativistic quantum electrodynamics there is a class of equivalent Hamiltonians that describe a system of radiation and atoms or molecules in interaction. Three specific examples, namely, the minimal coupling, the multipolar, and the space-translated forms are analyzed here in detail. Their equivalence is demonstrated. The Lagrangian approach has also been examined to give further insight into the dynamics. The equations of motion are compared. Finally, the process of two-photon absorption by an atom is used as an application of the various interaction Hamiltonians in a discussion of their computational differences.

Bibliography

Power, E. A., & Thirunamachandran, T. (1978). On the nature of the Hamiltonian for the interaction of radiation with atoms and molecules: (e/m c)pâA, âÎ¼âE, and all that. American Journal of Physics, 46(4), 370â378.

Authors 2

E. A. Power (first)
T. Thirunamachandran (additional)

References 0 Referenced 105

None

Dates

Type	When
Created	20 years, 5 months ago (March 5, 2005, 9:54 a.m.)
Deposited	2 years ago (Aug. 7, 2023, 9:34 p.m.)
Indexed	2 weeks, 6 days ago (Aug. 2, 2025, 12:59 a.m.)
Issued	47 years, 4 months ago (April 1, 1978)
Published	47 years, 4 months ago (April 1, 1978)
Published Print	47 years, 4 months ago (April 1, 1978)

Funders 0

None

BibTeX

@article{Power_1978, title={On the nature of the Hamiltonian for the interaction of radiation with atoms and molecules: (e/m c)p⋅A, −μ⋅E, and all that}, volume={46}, ISSN={1943-2909}, url={http://dx.doi.org/10.1119/1.11313}, DOI={10.1119/1.11313}, number={4}, journal={American Journal of Physics}, publisher={American Association of Physics Teachers (AAPT)}, author={Power, E. A. and Thirunamachandran, T.}, year={1978}, month=apr, pages={370–378} }

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